Final answer:
The simplest radical form of √45p^2 is 3√15p.
Step-by-step explanation:
The simplest radical form of √45p^2 is option c) 3√15p. To simplify a radical, we need to find the largest perfect square that is a factor of the number under the radical. In this case, 45 can be factored into 3^2 * 5. Since 3^2 is a perfect square, we can take the square root of 3^2 and simplify it to 3.
Therefore, the simplest radical form of √45p^2 is 3√15p.